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Vectors and 3D Geometry

Direction Cosines and Ratios

jee_main_2026_april_4_shift_1

Grade 12

Question:

The direction cosines of the vector 2i + 3j + 6k are:

A. 2/7, 3/7, 6/7

B. 2/7, 3/7, 6/7

C. 2/√13, 3/√13, 6/√13

D. 2/√49, 3/√49, 6/√49

Step-by-Step Solution

Key Concept: Direction cosines are the components divided by the magnitude.

Step 1: Magnitude = 7. Direction cosines = 2/7, 3/7, 6/7.

Correct Answer: A

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